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Finding the Third Proportional to 13,274 and 29,462

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Solution

The third proportional to 13,274 and 29,462 is: 65,391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274 : 29,462 = 29,462 : x
  2. Step 2: Convert to fraction form
    13,274/29,462 = 29,462/x
  3. Step 3: Cross multiply
    13,274x = 29,462 × 29,462
  4. Step 4: Simplify right side
    13,274x = 868,009,444
  5. Step 5: Solve for x
    x = 868,009,444/13,274
  6. Step 6: Final answer
    x = 65,391.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.